2496271752 has 96 divisors (see below), whose sum is σ = 7291491480. Its totient is φ = 766955520.

The previous prime is 2496271697. The next prime is 2496271753. The reversal of 2496271752 is 2571726942.

2496271752 is a `hidden beast` number, since 2 + 4 + 9 + 627 + 17 + 5 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2480637636 + 15634116 = 49806^2 + 3954^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2496271698 and 2496271707.

It is not an unprimeable number, because it can be changed into a prime (2496271753) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 819352 + ... + 822392.

Almost surely, 2^2496271752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2496271752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3645745740).

2496271752 is an abundant number, since it is smaller than the sum of its proper divisors (4795219728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2496271752 is a wasteful number, since it uses less digits than its factorization.

2496271752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3943 (or 3936 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 2496271752 is about 49962.7036097928. The cubic root of 2496271752 is about 1356.5338045053.

The spelling of 2496271752 in words is "two billion, four hundred ninety-six million, two hundred seventy-one thousand, seven hundred fifty-two".